Tag Archives: geometries

Music in Plato’s Academy

Posted on June 3, 2005 by PlatoHagel

Academy was a suburb of Athens, named after the hero Academos or Ecademos. The site was continuously inhabited from the prehistoric period until the 6th century A.D. During the 6th century B.C., one of the three famous Gymnasiums of Athens … Continue reading →

Posted in Art, Brain, Euclid, geometries, Mathematics, Music, School of Athens, Sound | Tagged , , , , , , , | Leave a comment

Wunderkammern

Posted on June 1, 2005 by PlatoHagel

For me this is a wonderful view of abstraction, that had gone into model making, to help those less inclined to “the visonistic qualities of those same abstractions.” Shown here are the models in the mathematical wunderkammer located in the … Continue reading →

Posted in Albrecht Durer, geometries, Gravity, Mathematics, Max Tegmark, Quantum Gravity, String Theory, Sylvester Surfaces, Thomas Banchoff, WunderKammern | Tagged , , , , , , , , , | Leave a comment

Mathematical Enlightenment

Posted on May 28, 2005 by PlatoHagel

This enlightenment experience is a realization about the nature of the mind which entails recognizing it (in a direct, experiential way) as liminocentrically organized. The overall structure is paradoxical, and so the articulation of this realization will ‘transcend’ logic – … Continue reading →

Posted in Brain, Dimension, Earth, General Relativity, geometries, Gravity, Loop Quantum, Mathematics, Non Euclidean, Nothing, Quantum Gravity, Strange Matter, String Theory, Time Variable Measure, Topology | Tagged , , , , , , , , , , , , , , | Leave a comment

Sylvester’s Surfaces

Posted on May 21, 2005 by PlatoHagel

Figure 2. Clebsch’s Diagonal Surface: Wonderful. We are told that “mathematics is that study which knows nothing of observation…” I think no statement could have been more opposite to the undoubted facts of the case; that mathematical analysis is constantly … Continue reading →

Posted in Analogies, Ashmolean Museum, Brain, Cayley, Dimension, geometries, Gravity, Induction, Mathematics, Nothing, Sound, String Theory, Sylvester Surfaces | Tagged , , , , , , , , , , , , | Leave a comment

Spheres Instead of Circles

Posted on May 20, 2005 by PlatoHagel

This is a torus (like a doughnut) on which several circles are located. Unlike on a Euclidean plane, on this surface it is impossible to determine which circle is inside of which, since if you go from the black circle … Continue reading →

Posted in Dimension, Einstein, geometries, Topology | Tagged , , , | Leave a comment

Topo-sense?

Posted on May 19, 2005 by PlatoHagel

Michael Persinger has a vision – the Almighty isn’t dead, he’s an energy field. And your mind is an electromagnetic map to your soul. Persinger’s research forays are at the very frontier of the roiling field of neuroscience, the biochemical … Continue reading →

Posted in Brain, Brian Greene, Concepts, Dimension, Einstein, geometries, Gravity, Higgs, Induction, Mathematics, Metaphors, planck, Quantum Gravity, String Theory, Topology | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

Visualization: Changing Perspective

Posted on May 12, 2005 by PlatoHagel

I give some perspective on “image use and artistic expression.” But such journeys are not limited to the “ideas of a book” or “a painting” in some form of geometric code. Some will remember Salvador Dali picture I posted. I … Continue reading →

Posted in Art, Arthur Young, Birds, Colour of Gravity, Cosmology, Dimension, Earth, Einstein, geometries, Gravity, Heisenberg, HENRI POINCARE, Marcel Duchamp, Membrane, Non Euclidean, Nothing, Quantum Gravity, Veneziano | Tagged , , , , , , , , , , , , , , , , , | Leave a comment

The Unity of Mathematics

Posted on May 11, 2005 by PlatoHagel

Alain Connes Where a dictionary proceeds in a circular manner, defning a word by reference to another, the basic concepts of mathematics are infinitely closer to an indecomposable element”, a kind of elementary particle” of thought with a minimal amount … Continue reading →

Posted in Bubbles, Concepts, Earth, Einstein, geometries, Gravity, Intuition, Kip Thorne, Klein, LIGO, Mathematics, Music, Projective Geometry, Sound, String Theory, Susskind, Toy Model | Tagged , , , , , , , , , , , , , , , , | Leave a comment

Rhetoric and Composition

Posted on April 23, 2005 by PlatoHagel

I hope the time will be taken to patiently read and follow through as it will explain the dangers of what Sokal did, and the mistrust he place at the front door of media control. Censorship. What were the motivations … Continue reading →

Posted in Brain, Climate, Einstein, geometries, Gravity, Quantum Gravity, rhetoric | Tagged , , , , , , | Leave a comment

Supersymmetrical Realities

Posted on April 8, 2005 by PlatoHagel

Fusion Power Within Reach? Controlling the eddies and whirls of the writhing plasma so that it can burst into life as a miniature Sun has been a formidable, and so far only partially met, engineering challenge. “If we follow the … Continue reading →

Posted in Analogies, Bubbles, Curvature Parameters, Einstein, geometries, Gravity, Non Euclidean, sonofusion, Sound, Sun, SuperNova, SuperNovas | Tagged , , , , , , , , , , , | Leave a comment